Core stretch Rectangle $ABCD$ has sides $AB=18$ cm and $BC=12$ cm. In Diagram 1, $A$ lies on

Question

Core stretch Rectangle $ABCD$ has sides $AB=18$ cm and $BC=12$ cm. In Diagram 1, $A$ lies on horizontal line $XY$ and $B$ is 6 cm above it. Find Give non-exact lengths and areas to 3 significant figures, and angles to 1 decimal place. $A$ $B$ $C$ $D$ $X$ $Y$ Diagram 1 $18\text{ cm}$ $12\text{ cm}$ $6\text{ cm}$ $A$ $B$ $C$ $D$ $X$ $Y$ Diagram 2 $18\text{ cm}$ $12\text{ cm}$ $\theta$

Accepted Answer

(a)(i) $19.5^\circ$ (ii) $33.7^\circ$ (iii) $6\sqrt{13}\approx21.6$ cm (b) $56.3^\circ$.

A rectangle tilted in two configurations

A rectangle tilted in two configurations

Solution:

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